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349816618943 = 111971199118463
BaseRepresentation
bin1010001011100101011…
…00011111111110111111
31020102221022200110211222
411011302230133332333
521212411023301233
6424411544103555
734162532125421
oct5056254377677
91212838613758
10349816618943
111253a13a8460
1257968a64bbb
1326cab8b281c
1412d07378811
159175dcd898
hex5172b1ffbf

349816618943 has 32 divisors (see below), whose sum is σ = 409411584000. Its totient is φ = 295538997600.

The previous prime is 349816618939. The next prime is 349816618961.

349816618943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 349816618943 - 22 = 349816618939 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349816618933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2893730 + ... + 3012192.

It is an arithmetic number, because the mean of its divisors is an integer number (12794112000).

Almost surely, 2349816618943 is an apocalyptic number.

349816618943 is a deficient number, since it is larger than the sum of its proper divisors (59594965057).

349816618943 is a wasteful number, since it uses less digits than its factorization.

349816618943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118763.

The product of its digits is 26873856, while the sum is 62.

The spelling of 349816618943 in words is "three hundred forty-nine billion, eight hundred sixteen million, six hundred eighteen thousand, nine hundred forty-three".

Divisors: 1 11 19 71 199 209 781 1349 2189 3781 14129 14839 41591 118463 155419 268451 1303093 2250797 2952961 8410873 23574137 24758767 92519603 159806587 259315507 447908603 1673763727 1757872457 4926994633 18411400997 31801510813 349816618943